2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/151537The quantum Lattice Boltzmann equation (QLBe), a new variant of the lattice Boltzmann equation, specifically designed to describe non relativistic quantum motion, is validated for the case of a free-particle in (1+1) space-time dimensions. The proper parameter regime under which the method needs to be operated in order to reproduce faithful non-relativistic quantum motion is also discussed.LaTeX fileCellular Automata and Lattice GasesNumerical Solution of the Schroedinger Equation using a Quantum Lattice Boltzmann Equation}text